How do you calculate the volume of a right hexagonal prism.

The height is 8cm and each section of base is 6cm.
The answer is 748.2 CU
I have been working on this problem for 30 minutes and cannot come up with the correct answer.

volume = base x height

so you need the base of the hexagon, which consists of 6 equilateral triangles.
Area of one of them = (1/2)(6)(6)sin60 = 15.588457

so the base is 6 times that

volume = 6(15.588457)(8) = 748.246

To calculate the volume of a right hexagonal prism, you need to know its height and the length of one side of the base. In this case, you have the height of 8cm and the length of one side of the base which is 6cm.

The formula to calculate the volume of a right hexagonal prism is:

Volume = (3 * √3 * side^2 * height) / 2

Substituting the given values:

Volume = (3 * √3 * 6^2 * 8) / 2
= (3 * √3 * 36 * 8) / 2
= (3 * √3 * 288) / 2
= (518.24 * √3) / 2
= 259.12 * √3

Now, to get the final answer, we need to approximate the value of √3.

Using a calculator, the approximate value of √3 is 1.732.

So, the volume of the right hexagonal prism is:

Volume ≈ 259.12 * 1.732
≈ 448.46

Therefore, the correct answer is approximately 448.46 cubic units.

I apologize for any confusion caused by the initial value provided as the correct answer (748.2 CU). It appears to be incorrect.